Given a production company is planning to increase its production. It is governed by an model equation: P(t) = 36r + 72t + 18 Where P(t) is a production on 't th day. A. Determine the rate of increase of production B. Evaluate the rate of increase after 6 days of production

Based on data from 1997-2005, the amount of yogurt produced in the UnitedStates annually may be modeled byy(t) = 14.99t2 + 62.14t + 1555 million poundswhere t is the number of years since 1997.(a) Find and interpret the meaning of y(12).(b) Find and interpret the meaning of y'(12).

An oil rig breaks and begins to leak oil into the arctic ocean at an increasing rate of R(t) = 30t + 10 litres per day. At the instant of breakage (t=0), 10 litres of oil was spilled into the ocean via the emergency release valve. What is the equation V(t), the amount of oil (in litres) leaked into the ocean at time t days? V(t) = 5² + 20t + 100 V(t) = 10²2 + 5/₂t + 1000 V(t) = 5/2² +10t + 100 Vt) = 15²2² +10t + 1000 Vt) = 5t² + 10t + 1000 Vt) = 15² + 10t+ 10 OMA =152 +5/2t + 1000 Иt) = 10²² + 20t + 100